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Finding the Third Proportional to 127,509,944,008 and 279,040,076,396

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Solution

The third proportional to 127,509,944,008 and 279,040,076,396 is: 610,645,427,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,509,944,008 : 279,040,076,396 = 279,040,076,396 : x
  2. Step 2: Convert to fraction form
    127,509,944,008/279,040,076,396 = 279,040,076,396/x
  3. Step 3: Cross multiply
    127,509,944,008x = 279,040,076,396 × 279,040,076,396
  4. Step 4: Simplify right side
    127,509,944,008x = 77,863,364,235,085,513,490,432
  5. Step 5: Solve for x
    x = 77,863,364,235,085,513,490,432/127,509,944,008
  6. Step 6: Final answer
    x = 610,645,427,231.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.